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Factor the expression. \( x^{2}-3 x-28 \) \( x^{2}-3 x-28=\square \) (Type your answer in factored form.)

Ask by Garza Macdonald. in the United States
Mar 11,2025

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\( x^{2}-3x-28 = (x-7)(x+4) \)

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Mind Expander

To factor the expression \( x^{2}-3x-28 \), we need to find two numbers that multiply to -28 (the constant term) and add to -3 (the coefficient of the x-term). The numbers -7 and 4 fit the bill since \(-7 \times 4 = -28\) and \(-7 + 4 = -3\). Thus, the factored form of the expression is: \( x^{2}-3x-28 = (x-7)(x+4) \)

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